Jasonbradley
Home

(-a^2-5ab+3b^2)-(3a^2-2ab+3b^2)

2 min read Jun 16, 2024
(-a^2-5ab+3b^2)-(3a^2-2ab+3b^2)

Simplifying Algebraic Expressions: (-a^2-5ab+3b^2)-(3a^2-2ab+3b^2)

This article will guide you through simplifying the algebraic expression (-a^2-5ab+3b^2)-(3a^2-2ab+3b^2).

Understanding the Problem

We are given two expressions, one subtracted from the other. To simplify, we need to combine like terms.

Simplifying the Expression

  1. Distribute the negative sign: The minus sign in front of the second parenthesis means we multiply each term inside by -1.

    (-a^2 - 5ab + 3b^2) + (-1 * 3a^2) + (-1 * -2ab) + (-1 * 3b^2)

  2. Simplify: -a^2 - 5ab + 3b^2 - 3a^2 + 2ab - 3b^2

  3. Combine like terms: Terms with the same variables and exponents can be combined. (-a^2 - 3a^2) + (-5ab + 2ab) + (3b^2 - 3b^2)

  4. Final result: -4a^2 - 3ab

Conclusion

Therefore, the simplified form of the algebraic expression (-a^2-5ab+3b^2)-(3a^2-2ab+3b^2) is -4a^2 - 3ab.

Related Post

Featured Posts